https://file.aiquickdraw.com/mathbot/file/1726836462170jvsa8jnw.jpg

To calculate Usain Bolt's displacement, we need to sum up the distances in both directions, treating east as positive and west as negative (since displacement is a vector quantity and direction matters).

### Step 1: Convert all distances to meters
- 590 meters west (already in meters).
- 43,000 cm east = \( 43,000 \, \text{cm} \times \frac{1 \, \text{m}}{100 \, \text{cm}} = 430 \, \text{m} \) east.
- 1.2 kilometers west = \( 1.2 \, \text{km} \times 1000 \, \text{m/km} = 1200 \, \text{m} \) west.

### Step 2: Assign directions
- West distances are negative: \(-590 \, \text{m}\) and \(-1200 \, \text{m}\).
- East distance is positive: \(+430 \, \text{m}\).

### Step 3: Calculate total displacement
\[
\text{Displacement} = (-590 \, \text{m}) + (430 \, \text{m}) + (-1200 \, \text{m})
\]
\[
\text{Displacement} = -590 + 430 - 1200 = -1360 \, \text{m}
\]

The negative sign indicates that the displacement is 1360 meters **west**.

### Final answer:
- Magnitude of displacement: 1360 meters
- Direction: West

Would you like any further details on this solution? Here are some related questions:

1. What is the difference between distance and displacement?
2. How do we calculate the resultant of multiple vectors?
3. Why does the direction affect displacement, but not distance?
4. How would Bolt's displacement change if all his runs were eastward?
5. What would happen if he had returned to his starting point?

**Tip:** Always pay attention to units and convert them to a common unit before performing calculations.

Usain Bolt runs for 590 m west, 43000 cm east, and 1.2 km west. Calculate his displacement (magnitude and direction) in meters.

Learn how to calculate Usain Bolt's displacement by converting units, assigning directions (west and east), and using vector addition. This example covers important physics concepts such as displacement and unit conversions. Suitable for students in Grades 9-11.

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